Check the picture below.
thus, the radius of each is 4 inches, and the heights are 9 and "h" respectively.
the volume of the figure is the volume of the cone plus the volume of the cylinder then, thus
Answer:
243π inches
Step-by-step explanation:
The volume of a cylinder is πr^2 * h
r = 9
h = 3
81π * 3 = 243π
Answer:
y = 8
x = 9
Step-by-step explanation:
given equation,
x + y = 17 ........(1)
9 x - y = 73...........(2)
writing in matrix form
A X = B
using augamented matrix A|B
using row transformation
R₂ = R₂ - 9 R₁
now,
now
-10 y = -80
y = 8
and
x + y = 17
x = 17 -8
x =9
To break even, means her revenue and overhead are equal, i.e. she isn't making any money but isn't losing any either. We can write an equation to represent this situation:
And then solve for h:
We can solve with the quadratic formula, or more easily, by factoring:
So either
OR
Since a negative number of hours makes no sense: h=5.
She will break even after 5 hours.